1012586380 has 96 divisors (see below), whose sum is σ = 2445327360. Its totient is φ = 349090560.

The previous prime is 1012586329. The next prime is 1012586381. The reversal of 1012586380 is 836852101.

It is not an unprimeable number, because it can be changed into a prime (1012586381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349297 + ... + 352183.

It is an arithmetic number, because the mean of its divisors is an integer number (25472160).

Almost surely, 2^1012586380 is an apocalyptic number.

1012586380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012586380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222663680).

1012586380 is an abundant number, since it is smaller than the sum of its proper divisors (1432740980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012586380 is a wasteful number, since it uses less digits than its factorization.

1012586380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 1012586380 is about 31821.1624551964. The cubic root of 1012586380 is about 1004.1779801721.

The spelling of 1012586380 in words is "one billion, twelve million, five hundred eighty-six thousand, three hundred eighty".